{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "## 实验目的\n",
    "## 理解并掌\n",
    "握经典的聚类算法。\n",
    "2. 能够基于聚类算法实现鸢尾花数据和城市数据的K-means聚类。\n",
    "3. 能够举一反三，实现不同含量果汁饮料的聚类。\n",
    "\n",
    "## 实验内容\n",
    "复现K-means的案例iris。\n",
    "对于给定的项目，自行编写程序，使用K-means算法实现经纬度的城市和不同含量果汁饮料的聚类。\n",
    "## 实验步骤\n",
    "###  1. 复现iris聚类\n",
    "1.1 程序代码:"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "a91f5b1b0fef3796"
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "准确率: 0.091667\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from sklearn import datasets\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn import metrics\n",
    "\n",
    "# 加载数据集\n",
    "iris = datasets.load_iris()\n",
    "iris_X_train, iris_X_test, iris_y_train, iris_y_test = train_test_split(iris.data, iris.target, test_size=0.2)\n",
    "\n",
    "# 配置模型\n",
    "kmeans = KMeans(n_clusters=3)\n",
    "\n",
    "# 训练模型\n",
    "kmeans_fit = kmeans.fit(iris_X_train)\n",
    "\n",
    "# 模型预测\n",
    "y_predict = kmeans.predict(iris_X_train)\n",
    "\n",
    "# 模型评估\n",
    "score = metrics.accuracy_score(iris_y_train, kmeans.predict(iris_X_train))\n",
    "print(f'准确率: {score:.6f}')\n",
    "\n",
    "# 结果可视化\n",
    "x1 = iris_X_train[:, 0]  # 鸢尾花花萼长度\n",
    "y1 = iris_X_train[:, 1]  # 鸢尾花花萼宽度\n",
    "plt.scatter(x1, y1, c=y_predict, cmap='viridis')  # 画每一条的位置\n",
    "\n",
    "centers = kmeans.cluster_centers_  # 每个分类的中心点\n",
    "plt.scatter(centers[:, 0], centers[:, 1], c='black', s=200, alpha=0.5)  # 中心点\n",
    "plt.title('Iris Data K-means Clustering')\n",
    "plt.xlabel('Sepal Length')\n",
    "plt.ylabel('Sepal Width')\n",
    "plt.show()\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-06-05T15:02:53.137708Z",
     "start_time": "2024-06-05T15:02:52.883126600Z"
    }
   },
   "id": "8202937691330e5e"
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 2. 使用K-means算法实现城市的聚类\n",
    "2.1 程序代码:"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "1f286de3dd8a1dd6"
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "from sklearn.cluster import KMeans\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 加载数据集\n",
    "data = pd.read_csv('../data/china_cities.csv')\n",
    "data.head()\n",
    "\n",
    "# 数据预处理\n",
    "city_coords = data[['东经', '北纬']]\n",
    "\n",
    "# 配置模型\n",
    "kmeans = KMeans(n_clusters=5)  # 这里假设我们要分为5个簇\n",
    "\n",
    "# 训练模型\n",
    "kmeans_fit = kmeans.fit(city_coords)\n",
    "\n",
    "# 模型预测\n",
    "city_labels = kmeans.predict(city_coords)\n",
    "\n",
    "# 结果可视化\n",
    "plt.scatter(city_coords['东经'], city_coords['北纬'], c=city_labels, cmap='viridis')\n",
    "plt.scatter(kmeans.cluster_centers_[:, 0], kmeans.cluster_centers_[:, 1], c='black', s=200, alpha=0.5)\n",
    "plt.title('City Clustering based on Geographical Coordinates')\n",
    "plt.xlabel('longitude')\n",
    "plt.ylabel('latitude')\n",
    "plt.show()\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-06-05T15:06:06.742993600Z",
     "start_time": "2024-06-05T15:06:06.471684100Z"
    }
   },
   "id": "e0237454aac7c4e3"
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 3. 使用K-means算法实现不同含量果汁饮料的聚类\n",
    "3.1 程序代码:"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "e2fdef4e3f0cafe8"
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimal k: 4\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn import metrics\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 加载数据集\n",
    "data = pd.read_csv('../data/juice_data.csv')\n",
    "data.head()\n",
    "\n",
    "# 样本数据转化\n",
    "juice_sweet = data[['juice', 'sweet']]\n",
    "\n",
    "# 确定k的取值范围\n",
    "ch_scores = []\n",
    "k_range = range(2, 10)\n",
    "for k in k_range:\n",
    "    kmeans = KMeans(n_clusters=k)\n",
    "    kmeans.fit(juice_sweet)\n",
    "    ch_score = metrics.calinski_harabasz_score(juice_sweet, kmeans.labels_)\n",
    "    ch_scores.append(ch_score)\n",
    "\n",
    "# 选择最优k值\n",
    "optimal_k = k_range[ch_scores.index(max(ch_scores))]\n",
    "print(f'Optimal k: {optimal_k}')\n",
    "\n",
    "# 配置模型\n",
    "kmeans = KMeans(n_clusters=optimal_k)\n",
    "\n",
    "# 训练模型\n",
    "kmeans_fit = kmeans.fit(juice_sweet)\n",
    "\n",
    "# 聚类结果\n",
    "juice_labels = kmeans.predict(juice_sweet)\n",
    "\n",
    "# 结果可视化\n",
    "plt.scatter(juice_sweet['juice'], juice_sweet['sweet'], c=juice_labels, cmap='viridis')\n",
    "plt.scatter(kmeans.cluster_centers_[:, 0], kmeans.cluster_centers_[:, 1], c='black', s=200, alpha=0.5)\n",
    "plt.title('Juice Content Clustering')\n",
    "plt.xlabel('Juice Deviation (mg/ml)')\n",
    "plt.ylabel('Sweetness Deviation (mg/ml)')\n",
    "plt.show()\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-06-05T15:06:53.623802900Z",
     "start_time": "2024-06-05T15:06:53.019037200Z"
    }
   },
   "id": "32e54263e822c685"
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false
   },
   "id": "7ea6ede64b7c2e9d"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
